{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "161a71f4b0ae9b7e",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "Fitting a power law to the results of the model ladder\n",
    "==="
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "3236417a6ee99f2a",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-17T17:08:41.836926Z",
     "start_time": "2024-07-17T17:08:41.731212Z"
    },
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import ladder\n",
    "import re\n",
    "\n",
    "pile_ce = {\n",
    "    \"baseline-150M-2xC\": 2.731,\n",
    "    \"baseline2-150M-2xC\": 2.726,\n",
    "    \"baseline-300M-2xC\": 2.501,\n",
    "    \"baseline2-150M-5xC\": 2.616,\n",
    "    \"baseline-300M-5xC\": 2.403,\n",
    "    \"baseline-1B-2xC\": 2.198,\n",
    "    \"baseline-300M-1xC\": 2.601,\n",
    "    \"baseline-300M-3xC\": 2.457,\n",
    "    \"baseline-300M-4xC\": 2.425,\n",
    "    \"baseline-300M-10xC\": 2.356,\n",
    "    \"baseline-750M-2xC\": 2.290\n",
    "}\n",
    "\n",
    "c4_ce = {\n",
    "    \"baseline-150M-2xC\": 3.328,\n",
    "    \"baseline2-150M-2xC\": 3.327,\n",
    "    \"baseline-300M-2xC\": 3.104,\n",
    "    \"baseline2-150M-5xC\": 3.221,\n",
    "    \"baseline-300M-5xC\": 3.009,\n",
    "    \"baseline-1B-2xC\": 2.791,\n",
    "    \"baseline-300M-1xC\": 3.203,\n",
    "    \"baseline-300M-3xC\": 3.058,\n",
    "    \"baseline-300M-4xC\": 3.028,\n",
    "    \"baseline-300M-10xC\": 2.952,\n",
    "    \"baseline-750M-2xC\": 2.885\n",
    "}\n",
    "\n",
    "run_name_re = re.compile(r\"^([^-]+)-([^-]+)-([^-]+)$\")\n",
    "\n",
    "def parse_run_name(name: str):\n",
    "    name, size, length = run_name_re.match(name).groups()\n",
    "    size = ladder.parse_size(size)\n",
    "    length = ladder.parse_length(length, size)\n",
    "    return name, size, length\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "a6b6e767e3650b36",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-17T17:08:42.439981Z",
     "start_time": "2024-07-17T17:08:41.830062Z"
    },
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fix, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 5))\n",
    "\n",
    "# make model size plot\n",
    "x = []\n",
    "y = []\n",
    "for run in [\"baseline-150M-2xC\", \"baseline-300M-2xC\", \"baseline-750M-2xC\", \"baseline-1B-2xC\"]:\n",
    "    name, size, length = parse_run_name(run)\n",
    "    x.append(size)\n",
    "    y.append((pile_ce[run] + c4_ce[run])/2)\n",
    "ax1.scatter(x, y)\n",
    "ax1.set_title(\"Varying model size, all Cx2\")\n",
    "ax1.set_xlabel(\"Model size\")\n",
    "ax1.set_ylabel(\"CE on Pile and C4\")\n",
    "\n",
    "# make length plot\n",
    "x = []\n",
    "y = []\n",
    "for run in [\"baseline-300M-1xC\", \"baseline-300M-2xC\", \"baseline-300M-3xC\", \"baseline-300M-4xC\", \"baseline-300M-10xC\"]:\n",
    "    name, size, length = parse_run_name(run)\n",
    "    x.append(length)\n",
    "    y.append((pile_ce[run] + c4_ce[run])/2)\n",
    "ax2.scatter(x, y)\n",
    "ax2.set_title(\"Varying run length, all 300M\")\n",
    "ax2.set_xlabel(\"Run length in tokens\")\n",
    "ax2.set_ylabel(\"CE on Pile and C4\")\n",
    "\n",
    "# show\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "5f8e2b374297f826",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-17T17:08:58.604557Z",
     "start_time": "2024-07-17T17:08:42.435144Z"
    },
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 2.19247053e+01 -1.05054910e-01  2.41708792e-18]\n",
      "[ 1.98377773e+03 -3.74553884e-01  2.47032310e+00]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from scipy.optimize import curve_fit\n",
    "\n",
    "def power_law(x, a, b, c):\n",
    "    return a * x ** b + c\n",
    "power_law_bounds = ([0, -np.inf, 0], [np.inf, 0, np.inf])\n",
    "\n",
    "fix, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 5))\n",
    "\n",
    "# model size\n",
    "x = []\n",
    "y = []\n",
    "for run in [\"baseline-150M-2xC\", \"baseline-300M-2xC\", \"baseline-750M-2xC\", \"baseline-1B-2xC\"]:\n",
    "    _, size, _ = run_name_re.match(run).groups()\n",
    "    _, size = ladder.size_for_model(size)\n",
    "    x.append(size)\n",
    "    y.append((pile_ce[run] + c4_ce[run])/2)\n",
    "\n",
    "train_x = np.array(x[:-1])\n",
    "train_y = np.array(y[:-1])\n",
    "popt, pcov = curve_fit(power_law, train_x, train_y, p0=(100, -0.2, 1.5), bounds=power_law_bounds, max_nfev=10000)\n",
    "print(popt)\n",
    "ax1.scatter(x, y)\n",
    "ax1.set_title(\"Varying model size, all Cx2\")\n",
    "ax1.set_xlabel(\"Model size without embeddings\")\n",
    "ax1.set_ylabel(\"CE on Pile and C4\")\n",
    "x = np.linspace(min(x), max(x), 100)\n",
    "ax1.plot(x, power_law(x, *popt))\n",
    "\n",
    "# run length\n",
    "x = []\n",
    "y = []\n",
    "for run in [\"baseline-300M-1xC\", \"baseline-300M-2xC\", \"baseline-300M-3xC\", \"baseline-300M-4xC\", \"baseline-300M-10xC\"]:\n",
    "    _, _, length = parse_run_name(run)\n",
    "    x.append(length)\n",
    "    y.append((pile_ce[run] + c4_ce[run])/2)\n",
    "\n",
    "train_x = np.array(x[:-1])\n",
    "train_y = np.array(y[:-1])\n",
    "popt, pcov = curve_fit(power_law, train_x, train_y, p0=(200, -0.5, 2), bounds=power_law_bounds, max_nfev=10000)\n",
    "print(popt)\n",
    "ax2.scatter(x, y)\n",
    "ax2.set_title(\"Varying run length, all 300M\")\n",
    "ax2.set_xlabel(\"Run length in tokens\")\n",
    "ax2.set_ylabel(\"CE on Pile and C4\")\n",
    "x = np.linspace(min(x), max(x), 100)\n",
    "ax2.plot(x, power_law(x, *popt))\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "8c1b56e6fe0cb4e2",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-17T17:08:58.604952Z",
     "start_time": "2024-07-17T17:08:58.558332Z"
    },
    "collapsed": false
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "cf1b08bee372a499",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-17T17:08:58.605096Z",
     "start_time": "2024-07-17T17:08:58.562822Z"
    },
    "collapsed": false
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
